• Title/Summary/Keyword: Embedded Markov Chain

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A Note on the M/G/1/K Queue with Two-Threshold Hysteresis Strategy of Service Intensity Switching (고객수 상태에 따른 서비스를 제공하는 M/G/1/K 대기체계에 관한 소고)

  • Choi, Doo Il;Kim, Bo Keun;Lee, Doo Ho
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.3
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    • pp.1-5
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    • 2014
  • We study the paper Zhernovyi and Zhernovyi [Zhernovyi, K.Y. and Y.V. Zhernovyi, "An $M^{\Theta}/G/1/m$ system with two-threshold hysteresis strategy of service intensity switching," Journal of Communications and Electronics, Vol.12, No.2(2012), pp.127-140]. In the paper, authors used the Korolyuk potential method to obtain the stationary queue length distribution. Instead, our note makes an attempt to apply the most frequently used methods : the embedded Markov chain and the supplementary variable method. We derive the queue length distribution at a customer's departure epoch and then at an arbitrary epoch.

$MAP1, MAP2/G/1 FINITE QUEUES WITH SERVICE SCHEDULING FUNCTION DEPENDENT UPON QUEUE LENGTHS

  • Choi, Doo-Il;Lee, Sang-Min
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.673-689
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    • 2009
  • We analyze $MAP_1,\;MAP_2$/G/1 finite queues with service scheduling function dependent upon queue lengths. The customers are classified into two types. The arrivals of customers are assumed to be the Markovian Arrival Processes (MAPs). The service order of customers in each buffer is determined by a service scheduling function dependent upon queue lengths. Methods of embedded Markov chain and supplementary variable give us information for queue length of two buffers. Finally, the performance measures such as loss probability and mean waiting time are derived. Some numerical examples also are given with applications in telecommunication networks.

Performance Analysis of a Finite-Buffer Discrete-Time Queueing System with Fixed-Sized Bulk-service

  • Chang, Seok-Ho;Kim, Tae-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.9B
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    • pp.783-792
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    • 2003
  • We consider a finite-buffer discrete-time queueing system with fixed-size bulk-service discipline: Geo/ $G^{B}$1/K+B. The main purpose of this paper is to present a performance analysis of this system that has a wide range of applications in Asynchronous Transfer Mode (ATM) and other related telecommunication systems. For this purpose, we first derive the departure-epoch probabilities based on the embedded Markov chain method. Next, based on simple rate in and rate out argument, we present stable relationships for the steady-state probabilities of the queue length at different epochs: departure, random, and arrival. Finally, based on these relationships, we present various useful performance measures of interest such as the moments of number of packets in the system at three different epochs and the loss probability. The numerical results are presented for a deterministic service-time distribution - a case that has gained importance in recent years.s.

Reservation and Status Sensing Multiple Access Protocol in Slotted CDMA Systems

  • Lim, In-Taek;Ryu, Young-Tae
    • Journal of information and communication convergence engineering
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    • v.8 no.5
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    • pp.513-518
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    • 2010
  • This paper proposes a medium access control protocol for integrated voice and data services in slotted CDMA systems. The proposed protocol, which is named as RCSSMA (Reservation Code and Status Sensing Multiple Access), adopts a code reservation and status sensing schemes. RCSSMA protocol gives higher access priority to the voice traffic than data traffic for reducing the packet dropping probability. The voice terminal reserves an available spreading code to transmit voice packets during a talkspurt, whereas the data terminal transmits a packet over one of the available spreading codes that are not reserved by the voice terminals. In this protocol, the voice packets never contend with the data packets. Packet dropping probability and average data packet transmission delay are analyzed using a Markov chain model.

Cooperative MAC Protocol Using Active Relays for Multi-Rate WLANs

  • Oh, Chang-Yeong;Lee, Tae-Jin
    • Journal of Communications and Networks
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    • v.13 no.5
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    • pp.463-471
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    • 2011
  • Cooperative communications using relays in wireless networks have similar effects of multiple-input and multiple-output without the need of multiple antennas at each node. To implement cooperation into a system, efficient protocols are desired. In IEEE 802.11 families such as a/b/g, mobile stations can automatically adjust transmission rates according to channel conditions. However throughput performance degradation is observed by low-rate stations in multi-rate circumstances resulting in so-called performance anomaly. In this paper, we propose active relay-based cooperative medium access control (AR-CMAC) protocol, in which active relays desiring to transmit their own data for cooperation participate in relaying, and it is designed to increase throughput as a solution to performance anomaly. We have analyzed the performance of the simplified AR-CMAC using an embedded Markov chain model to demonstrate the gain of AR-CMAC and to verify it with our simulations. Simulations in an infrastructure network with an IEEE 802.11b/g access point show noticeable improvement than the legacy schemes.

Hierarchical Power Management Architecture and Optimal Local Control Policy for Energy Efficient Networks

  • Wei, Yifei;Wang, Xiaojun;Fialho, Leonardo;Bruschi, Roberto;Ormond, Olga;Collier, Martin
    • Journal of Communications and Networks
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    • v.18 no.4
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    • pp.540-550
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    • 2016
  • Since energy efficiency has become a significant concern for network infrastructure, next-generation network devices are expected to have embedded advanced power management capabilities. However, how to effectively exploit the green capabilities is still a big challenge, especially given the high heterogeneity of devices and their internal architectures. In this paper, we introduce a hierarchical power management architecture (HPMA) which represents physical components whose power can be monitored and controlled at various levels of a device as entities. We use energy aware state (EAS) as the power management setting mode of each device entity. The power policy controller is capable of getting information on how many EASes of the entity are manageable inside a device, and setting a certain EAS configuration for the entity. We propose the optimal local control policy which aims to minimize the router power consumption while meeting the performance constraints. A first-order Markov chain is used to model the statistical features of the network traffic load. The dynamic EAS configuration problem is formulated as a Markov decision process and solved using a dynamic programming algorithm. In addition, we demonstrate a reference implementation of the HPMA and EAS concept in a NetFPGA frequency scaled router which has the ability of toggling among five operating frequency options and/or turning off unused Ethernet ports.

Analysis of a Queueing Model with Combined Control of Arrival and Token Rates (패킷 도착률과 토큰 생성률의 통합 관리를 적용한 대기모형의 분석)

  • Choi, Doo-Il;Kim, Tae-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.6B
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    • pp.895-900
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    • 2010
  • As the diverse telecommunication services have been developed, network designers need to prevent congestion which may be caused by properties of timecorrelation and burstiness, and unpredictable statistical fluctuation of traffic streams. This paper considers the leaky bucket scheme with combined control of arrival and token rates, in which the arrival rate and the token generation interval are controlled according to the queue length. By using the embedded Markov chain and the supplementary variable methods, we obtain the queue length distribution as well as the loss probability and the mean waiting time.

Embedded System Reliability Measurement Use Markov Chain Model (마르코프 체인 모델을 이용한 임베디드 시스템 신뢰도 측정)

  • Kawk Dong-Gyu;Cho Yong-Yoon;Park Ho-Byung;Yoo Chea-Woo
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07b
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    • pp.433-435
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    • 2005
  • 임베디드 시스템은 다수의 디바이스를 컨트롤하여 시스템의 목적을 수행한다. 최근 임베디드 시스템의 요구사항이 증가함에 따라 하나의 임베디드 소프트웨어가 컨트롤하는 디바이스의 종류가 다양해지고 수도 증가하는 추세이다. 다수의 디바이스를 가지고 있는 임베디드 시스템에서 시스템의 신뢰도는 각 디바이스의 신뢰도에 많은 영향을 받는다. 본 논문은 임베디드 시스템의 신뢰도를 측정하기 위해서 통계적 신뢰도 측정 방법 중 한 가지인 마르코프 체인을 이용한 방법을 제안한다. 마르코프 체인은 여러 분야에서 복잡한 시스템을 단순화하여 모델링하고 과거의 변화를 토대로 미래를 예측할 수 있는 방법을 제공한다. 또한 전체 시스템의 확률을 행렬로 계측할 수 있는 방법을 가지고 있어 특정 부분의 확률이 전체 시스템의 확률에 미치는 영향을 산술적으로 계산할 수 있는 장점을 가지고 있다. 본 논문에서 제안하는 임베디드 소프트웨어 마르코프 체인은 테스트 대상 소스를 분석하여 디바이스를 컨트롤하는 루틴과 에러를 핸들링하는 루틴, 일반적인 루틴으로 나누어 각각을 상태로 정의한다. 정의한 각 상태간의 전이는 통계적으로 측정한 디바이스 신뢰도를 확률로 표현한다. 마르코프 체인을 이용하여 임베디드 시스템의 신뢰도를 측정하기 위한 시스템은 소스 분석기와 신뢰도 측정기로 나누어 설계한다. 소스 분석기는 테스트 대상이 되는 소스와 디바이스 드라이버 라이블러리 테이블을 입력으로 하고 소프트웨어의 마르코프 체인을 출력으로 한다 마르코프 체인은 행렬로 표현하고 연산하여 시스템의 신뢰도를 측정한다. 제안하는 시스템의 신뢰도 측정 방법은 부분이 가지고 있는 신뢰도가 전체 신뢰도에 미치는 영향을 산술적으로 측정할 수 있어 시스템이 요구하는 신뢰도에 접근할 수 있는 방법과 근거를 제공하는 장점이 있다.소시키는 장점을 갖는다.것으로 조사되었으며 40대 이상의 연령층은 점심비용으로 더 많은 지출을 하고 있는 것으로 나타났다. 4) 끼니별 한식에 대한 선호도는 아침식사의 경우가 가장 높았으며, 이는 40대와 50대에서 높게 나타났다. 점심 식사로 가장 선호되는 음식은 중식, 일식이었으며 저녁 식사에서 가장 선호되는 메뉴는 전 연령층에서 일식, 분식류 이었으며, 한식에 대한 선택 정도는 전 연령층에서 매우 낮게 나타났다. 5) 각 연령층에서 선호하는 한식에 대한 조사에서는 된장찌개가 전 연령층에서 가장 높은 선호도를 나타내었고, 김치는 40대 이상의 선호도가 30대보다 높게 나타났으며, 흥미롭게도 30세 이하의 선호도는 30대보다 높게 나타났다. 그 외에도 떡과 죽에 대한 선호도는 전 연령층에서 낮게 조사되었다. 장아찌류의 선호도는 전 연령대에서 낮았으며 특히 30세 이하에서 매우 낮게 조사되었다. 한식의 맛에 대한 만족도 조사에서는 연령이 올라갈수록 한식의 맛에 대한 만족도는 낮아지고 있었으나, 한식의 맛에 대한 만족도가 높을수록 양과 가격에 대한 만족도는 높은 경향을 나타내었다. 전반적으로 한식에 대한 선호도는 식사 때와 식사 목적에 따라 연령대 별로 다르게 나타나고 있으나, 선호도는 성별이나 세대에 관계없이 폭 넓은 선호도를 반영하고 있으며, 이는 대학생들을 대상으로 하는 연구 등에서도 나타난바 같다. 주 5일 근무제의 확산과 초 중 고생들의 토요일 휴무와 더불어 여행과 엔터테인먼트산업은 더욱 더 발전을 거듭하고 있으며, 외식은 여행과 여가 활동의 필수적인 요소로써 그 역할을 일조하고 있다. 이와 같은 여가시간의 증가는 독신자들에게는 좀더 많은 여유시간을 가족을 이루고 있는 가족구성원들에게는 가족과의 유대를 강화하는 휴식과 오락의 소비 트렌드를 창출시켰

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Analysis of an M/G/1/K Queueing System with Queue-Length Dependent Service and Arrival Rates (시스템 내 고객 수에 따라 서비스율과 도착율을 조절하는 M/G/1/K 대기행렬의 분석)

  • Choi, Doo-Il;Lim, Dae-Eun
    • Journal of the Korea Society for Simulation
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    • v.24 no.3
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    • pp.27-35
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    • 2015
  • We analyze an M/G/1/K queueing system with queue-length dependent service and arrival rates. There are a single server and a buffer with finite capacity K including a customer in service. The customers are served by a first-come-first-service basis. We put two thresholds $L_1$ and $L_2$($${\geq_-}L_1$$ ) on the buffer. If the queue length at the service initiation epoch is less than the threshold $L_1$, the service time of customers follows $S_1$ with a mean of ${\mu}_1$ and the arrival of customers follows a Poisson process with a rate of ${\lambda}_1$. When the queue length at the service initiation epoch is equal to or greater than $L_1$ and less than $L_2$, the service time is changed to $S_2$ with a mean of $${\mu}_2{\geq_-}{\mu}_1$$. The arrival rate is still ${\lambda}_1$. Finally, if the queue length at the service initiation epoch is greater than $L_2$, the arrival rate of customers are also changed to a value of $${\lambda}_2({\leq_-}{\lambda}_1)$$ and the mean of the service times is ${\mu}_2$. By using the embedded Markov chain method, we derive queue length distribution at departure epochs. We also obtain the queue length distribution at an arbitrary time by the supplementary variable method. Finally, performance measures such as loss probability and mean waiting time are presented.